Tensor Products of Cohen-Macaulay Rings. Solution to a Problem of Grothendieck

Details Tensor Products of Cohen-Macaulay Rings. Solution to a Problem of Grothendieck Tensor Products of Cohen-Macaulay Rings. Solution to a Problem of Grothendieck

2006-06-27

arxiv.org/abs/math/0606692v1

J. Algebra 252 (2002) 65-73

Mathematics

Commutative Algebra

8 pages

Scientific paper

In this paper we solve a problem, originally raised by Grothendieck, on the
transfer of Cohen-Macaulayness to tensor products of algebras over a field. As
a prelude to this, we investigate the grade for some specific types of ideals
that play a primordial role within the ideal structure of such constructions.

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